A180355 a(n) = n^5 + 5n.

0, 6, 42, 258, 1044, 3150, 7806, 16842, 32808, 59094, 100050, 161106, 248892, 371358, 537894, 759450, 1048656, 1419942, 1889658, 2476194, 3200100, 4084206, 5153742, 6436458, 7962744, 9765750, 11881506, 14349042, 17210508, 20511294

Offset

0,2

Links

Table of n, a(n) for n=0..29.

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

From R. J. Mathar, Sep 24 2010: (Start)

G.f.: 6*x*(1+x+16*x^2+x^3+x^4)/(x-1)^6.

a(n) = +6*a(n-1) -15*a(n-2) +20*a(n-3) -15*a(n-4) +6*a(n-5) -a(n-6). (End)

Prog

(PARI) a(n)=n^5+5*n \\ Charles R Greathouse IV, Oct 16 2015

Crossrefs

Cf. A132411, A079908, A180354.

Sequence in context: A229473 A141834 A344065 * A105281 A246938 A158797

Adjacent sequences: A180352 A180353 A180354 * A180356 A180357 A180358

Keyword

nonn,easy

Author

Odimar Fabeny, Aug 30 2010

Extensions

First term corrected by Odimar Fabeny, Sep 23 2010

a(0) corrected by R. J. Mathar, Sep 24 2010

Status

approved